I will give you my understanding as someone who works and heals with consciousness.
The law of attraction:
[INDENT]The law of attraction is sound but does not work in the way that it is usually defined, it works through our core way of being, it has nothing to do with judgements, but on the way we are within the fullness of self.
When people use the law of attraction as it is defined, the constant proclamation with our everyday thinking aspect of consciousness that I want something, is actually creating an inner conflict through dissatisfaction and incompleteness within the fullness of self.
[/INDENT]Karma:
[INDENT]Karma is fear driven, it works through judgements and condemnation.
It requires those who embrace it, to not only judge and put themselves down, but it also requires them to judge and put other people down as well, it states that we must work towards someone else's ideals instead of just allowing ourself to be real and true to our authentic self, whilst embracing our life experience in an open and nonjudgmental way, it forces them to always look back in judgement whilst fearing the future.
[/INDENT]They are both based within consciousness and work with the principle that everything starts and finishes with a thought, but they are not the same thing and do not create the same results within the fullness of self.
The only way that I can perceive them as being similar, is that they both create different inner conflicts rather than creating inner wholeness and harmony within the fullness of self, so both beliefs require transforming and healing within consciousness.